中文摘要：

研究了一类转移概率部分未知的随机时变时滞马尔可夫跳变系统的鲁棒H∞控制问题.首先,构建Lyapunov-Krasovkii方法,设计无记忆的状态反馈控制器,保证闭环系统的随机稳定性.其次,将过程转化为求解一组线性矩阵不等式（linear matrix inequalities,LMIs）的约束优化问题,通过求解线性矩阵不等式的方式,获得了充分条件.最后,数值仿真验证结论的有效性.

英文摘要：

The paper addresses the robust H∝ control of Markov jump systems with stochastic time-varying delay and partially unknown transition probabilities. First, by constructing a Lyapunov-Krasovskii methodology, we design a memoryless state feedback controller to guarantee the stochastic stability of the corresponding closedloop system. This makes it possible to convert the procedure into an optimization problem with the constraints of a set of linear matrix inequalities （LMIs） and to establish LMI conditions to acquire sufficient conditions. Finally, we provide a numerical example to demonstrate the validity of the results.